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Diophantine equation with prime number

Source: India Postal Set 5 P 4 2016

January 18, 2017
number theoryDiophantine equationprime numbers

Problem Statement

Find all triplets (x,y,p)(x, y, p) of positive integers such that pp is a prime number and xy3x+y=p.\frac{xy^3}{x+y}=p.
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